American Mathematical Society

My Account · My Cart · Customer Services · FAQ  

Mathematics Subject Classification

Complete Set of 2-Digit Classifications Used

00 (1940- now) General
01 (1940- now) History and biography [See also the classification number -03 in the other sections]
02 (1940-1979) Logic and foundations
03 (1980- now) Mathematical logic and foundations
04 (1959-1999) Set theory [See also 03Exx]
05 (1940- now) Combinatorics [For finite fields, see 11Txx]
06 (1940- now) Order, lattices, ordered algebraic structures [See also 18B35]
08 (1959- now) General algebraic systems
09 (1940-1972) Classical algebra
10 (1940-1984) Number Theory
11 (1985- now) Number theory
12 (1959- now) Field theory and polynomials
13 (1959- now) Commutative rings and algebras
14 (1940- now) Algebraic geometry
15 (1940- now) Linear and multilinear algebra; matrix theory
16 (1959- now) Associative rings and algebras [For the commutative case, see 13-XX]
17 (1940- now) Nonassociative rings and algebras
18 (1940- now) Category theory; homological algebra [For commutative rings see 13Dxx, for associative rings 16Exx, for groups 20Jxx, for topological groups and related structures 57Txx; see also 55Nxx and 55Uxx for algebraic topology]
19 (1986- now) $K$-theory [See also 16E20, 18F25]
20 (1940- now) Group theory and generalizations
21 (1940-1958) Topological algebraic structures
22 (1940- now) Topological groups, Lie groups [For transformation groups, see 54H15, 57Sxx, 58-XX. For abstract harmonic analysis, see 43-XX]
26 (1940- now) Real functions [See also 54C30]
27 (1940-1958) Analysis
28 (1940- now) Measure and integration [For analysis on manifolds, see 58-XX]
30 (1940- now) Functions of a complex variable [For analysis on manifolds, see 58-XX]
31 (1940- now) Potential theory [For probabilistic potential theory, see 60J45]
32 (1940- now) Several complex variables and analytic spaces [For infinite-dimensional holomorphy, see 46G20, 58B12]
33 (1940- now) Special functions ( 33-XX deals with the properties of functions as functions) [For orthogonal functions, see 42Cxx; for aspects of combinatorics see 05Axx; for number-theoretic aspects see 11-XX; for representation theory see 22Exx]
34 (1940- now) Ordinary differential equations
35 (1940- now) Partial differential equations
36 (1940-1958) Differential equations, operational calculus
37 (2000- now) Dynamical systems and ergodic theory [See also 26A18, 28Dxx, 34Cxx, 34Dxx, 35Bxx, 46Lxx, 58Jxx, 70-XX]
39 (1940- now) Difference and functional equations
40 (1940- now) Sequences, series, summability
41 (1940- now) Approximations and expansions [For all approximation theory in the complex domain, see 30Exx, 30E05 and 30E10; for all trigonometric approximation and interpolation, see 42Axx, 42A10 and 42A15; for numerical approximation, see 65Dxx]
42 (1940- now) Fourier analysis
43 (1973- now) Abstract harmonic analysis [For other analysis on topological and Lie groups, see 22Exx]
44 (1940- now) Integral transforms, operational calculus [For fractional derivatives and integrals, see 26A33. For Fourier transforms, see 42A38, 42B10. For integral transforms in distribution spaces, see 46F12. For numerical methods, see 65R10]
45 (1940- now) Integral equations
46 (1940- now) Functional analysis [For manifolds modeled on topological linear spaces, see 57Nxx, 58Bxx]
47 (1959- now) Operator theory
48 (1940-1958) Geometry
49 (1940- now) Calculus of variations and optimal control; optimization [See also 34H05, 34K35, 65Kxx, 90Cxx, 93-XX]
50 (1940-1979) Geometry [For algebraic geometry, see 14-XX.]
51 (1980- now) Geometry [For algebraic geometry, see 14-XX]
52 (1940- now) Convex and discrete geometry
53 (1940- now) Differential geometry [For differential topology, see 57Rxx. For foundational questions of differentiable manifolds, see 58Axx]
54 (1940- now) General topology [For the topology of manifolds of all dimensions, see 57Nxx]
55 (1940- now) Algebraic topology
56 (1940-1958) Topology
57 (1959- now) Manifolds and cell complexes [For complex manifolds, see 32Qxx]
58 (1973- now) Global analysis, analysis on manifolds [For geometric integration theory, see 49Q15]
60 (1940- now) Probability theory and stochastic processes [For additional applications, see 11Kxx, 62-XX, 90-XX, 91-XX, 92-XX, 93-XX, 94-XX]
62 (1940- now) Statistics
65 (1940- now) Numerical analysis
68 (1940- now) Computer science [For papers involving machine computations and programs in a specific mathematical area, see Section -04 in that area]
69 (1940-1972) General applied mathematics
70 (1940- now) Mechanics of particles and systems [For relativistic mechanics, see 83A05 and 83C10; for statistical mechanics, see 82-XX]
71 (1940-1958) Mechanics
73 (1940-1999) Mechanics of solids
74 (2000- now) Mechanics of deformable solids
76 (1940- now) Fluid mechanics [For general continuum mechanics, see 74Axx, or other parts of 74-XX]
78 (1940- now) Optics, electromagnetic theory [For quantum optics, see 81V80]
79 (1940-1958) Mathematical physics, physical applications
80 (1940- now) Classical thermodynamics, heat transfer [For thermodynamics of solids, see 74A15]
81 (1940- now) Quantum theory
82 (1940- now) Statistical mechanics, structure of matter
83 (1940- now) Relativity and gravitational theory
84 (1940-1958) Relativity, astronomy
85 (1940- now) Astronomy and astrophysics [For celestial mechanics, see 70F15]
86 (1940- now) Geophysics [See also 76U05, 76V05]
90 (1940- now) Operations research, mathematical programming
91 (2000- now) Game theory, economics, social and behavioral sciences
92 (1940- now) Biology and other natural sciences
93 (1940- now) Systems theory; control [For optimal control, see 49-XX]
94 (1940- now) Information and communication, circuits
97 (2000- now) Mathematics education
99 (1940-1958) Miscellaneous
Back to MR Past and Present

Comments: Email Webmaster

© Copyright , American Mathematical Society
Contact Us · Sitemap · Privacy Statement

Connect with us Facebook Twitter Google+ LinkedIn Instagram RSS feeds Blogs YouTube Podcasts Wikipedia